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Finding the Fourth Proportional to 3,244.68, 4,867.56 and 1,296.96

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Solution

The fourth proportional to 3,244.68, 4,867.56 and 1,296.96 is: 1,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.68 : 4,867.56 = 1,296.96 : x
  2. Step 2: Convert to fraction form
    3,244.68/4,867.56 = 1,296.96/x
  3. Step 3: Cross multiply
    3,244.68x = 4,867.56 × 1,296.96
  4. Step 4: Simplify right side
    3,244.68x = 6,313,030.62
  5. Step 5: Solve for x
    x = 6,313,030.62/3,244.68
  6. Step 6: Final answer
    x = 1,945.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.